101100101102121 has 64 divisors (see below), whose sum is σ = 157939338295296. Its totient is φ = 56845993344000.

The previous prime is 101100101102113. The next prime is 101100101102183. The reversal of 101100101102121 is 121201101001101.

It is not a de Polignac number, because 101100101102121 - 2³ = 101100101102113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101100101102097 and 101100101102106.

It is not an unprimeable number, because it can be changed into a prime (101100101101121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8931876 + ... + 16792218.

It is an arithmetic number, because the mean of its divisors is an integer number (2467802160864).

Almost surely, 2^{101100101102121} is an apocalyptic number.

101100101102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100101102121 is a deficient number, since it is larger than the sum of its proper divisors (56839237193175).

101100101102121 is a wasteful number, since it uses less digits than its factorization.

101100101102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860702.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101100101102121 its reverse (121201101001101), we get a palindrome (222301202103222).

The spelling of 101100101102121 in words is "one hundred one trillion, one hundred billion, one hundred one million, one hundred two thousand, one hundred twenty-one".